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Analytical representation of a charged black hole puncture solution

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Abstract

The evolution of a single uncharged black hole with the moving puncture method, considering suitable gauge conditions, leads to a time-independent maximal slicing of Schwarzschild spacetime. This configuration was constructed numerically and later analytically. We proceed here taking an inverse path: We first derived the analytical solution representing time-independent maximal slicing of Reissner–Nordstrom spacetime and show that it is a final state dictated by the moving puncture evolution using appropriate gauge conditions.

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Data Availability Statement

Data sets generated during the current study are available from the corresponding author on reasonable request. The manuscript has associated data in a data repository.

Notes

  1. A more complete and detailed moving puncture dynamics of a single-charged black hole is in preparation [16].

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Funding

H. P. de Oliveira thanks Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) and Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ) (Grant No. E-26/200.774/2023 Bolsas de Bancada de Projetos (BBP)). F. Medeiros acknowledges the financial support of the Brazilian agency Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES).

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Authors and Affiliations

  1. Departamento de Física Teórica - Instituto de Física A. D. Tavares, Universidade do Estado do Rio de Janeiro, R. São Francisco Xavier, 524, Rio de Janeiro, RJ, 20550-013, Brazil

    Felipe Medeiros & H. P. de Oliveira

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  1. Felipe Medeiros
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  2. H. P. de Oliveira
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Correspondence to H. P. de Oliveira.

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Medeiros, F., de Oliveira, H.P. Analytical representation of a charged black hole puncture solution. Eur. Phys. J. Plus 139, 285 (2024). https://doi.org/10.1140/epjp/s13360-024-05052-y

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